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56158200 = 23325274457
BaseRepresentation
bin1101011000111…
…0011111111000
310220200010120100
43112032133320
5103334030300
65323355400
71251223350
oct326163770
9126603510
1056158200
112977753a
1216982b60
13b833407
14765bb60
154de4700
hex358e7f8

56158200 has 144 divisors (see below), whose sum is σ = 215588880. Its totient is φ = 12833280.

The previous prime is 56158189. The next prime is 56158213. The reversal of 56158200 is 285165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10372 + ... + 14828.

It is an arithmetic number, because the mean of its divisors is an integer number (1497145).

Almost surely, 256158200 is an apocalyptic number.

56158200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56158200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107794440).

56158200 is an abundant number, since it is smaller than the sum of its proper divisors (159430680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56158200 is a wasteful number, since it uses less digits than its factorization.

56158200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 56158200 is about 7493.8775010004. The cubic root of 56158200 is about 382.9461665390.

The spelling of 56158200 in words is "fifty-six million, one hundred fifty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 4457 6300 8914 12600 13371 17828 22285 26742 31199 35656 40113 44570 53484 62398 66855 80226 89140 93597 106968 111425 124796 133710 155995 160452 178280 187194 200565 222850 249592 267420 280791 311990 320904 334275 374388 401130 445700 467985 534840 561582 623980 668550 748776 779975 802260 891400 935970 1002825 1123164 1247960 1337100 1403955 1559950 1604520 1871940 2005650 2246328 2339925 2674200 2807910 3119900 3743880 4011300 4679850 5615820 6239800 7019775 8022600 9359700 11231640 14039550 18719400 28079100 56158200